汤布里奇公学Tonbridge school 14+数学B卷入学考试笔试题型大赏析 试着做一做吧!

2023-02-17

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汤布里奇公学Tonbridge school 14+数学B卷入学考试

  14+数学入学考试:B卷

  时间:1小时

  总分:80分

  说明:

  1. 填写封面顶部的“姓名”和“学校”部分

  2. 所有问题都应在空格内作答

  3.不需要额外的纸张,包括图纸。

  1. Expand and fully simplify the following:

  a) 4(5 − 3𝑥)

  Answer: ……………………………..

  b) (2𝑥 − 1) (𝑥 + 5)

  Answer: ……………………………..

  c) (𝑥 + 𝑦) (2𝑥 − 3𝑦)

  Answer: …………………………….

  2. Solve the following equations:

  a) 4(𝑥 − 3) = 20

  Answer: ……………………………..

  b) 2𝑥 − 4(𝑥 – 3) = 1

  Answer: ……………………………..

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Answer: ……………………………..

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Answer: ……………………………..

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Answer: ……………………………..

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Answer: ……………………………..

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Answer: ……………………………..

  h) 2𝑥2 = 512

  Answer: ……………………………..

  3. Triangle 𝐴𝐵𝐶 has an angle equal to 90° at 𝐶, length of side 𝐴𝐶 equal to 5cm and length of side 𝐴𝐵 equal to 9cm.

  a) Draw a diagram, with appropriate labels and showing all the above information. The diagram does not need to be drawn with accurate lengths.

  b) Calculate the length of side 𝐵𝐶, giving your answer to 3 significant figures

  Answer: ……………………………..

  c) Calculate the size of angle 𝐴𝐵𝐶, giving your answer to 3 significant figures

  Answer: ……………………………..

  4. A line, L, passes through the points (4,0) and (−1, −2).

  a) By first drawing a set of axes, illustrate the line, L, on a graph.

  b) Calculate the gradient of L.

  Answer: ……………………………..

  c) Determine the equation of L.

  Answer: ……………………………..

  5. a) Solve the simultaneous equations

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  𝑢 = …………… 𝑣 = ……………

  6. The following graph is to be drawn

  𝑦 = 2𝑥2 − 3𝑥

  a) Complete the table

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  b) By first drawing a set of axes, then plotting appropriate points based on the information in the above table, draw the graph for the values −2 ≤ 𝑥 ≤ 3

  c) Using your graph, estimate the solutions of the equation

  2𝑥2 − 3𝑥 = 1

  Answers: …………… and ………………..

  7. Fully simply the following:

  a) 2𝑚 + 3𝑚

  Answer: ……………………….

  b) 3𝑦3x 3𝑦3

  Answer: ……………………….

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Answer: ……………………….

  d) (4𝑎2𝑏6)2

  Answer: ……………………….

  8. A car journey of 380 km takes 4 hours. Part of this journey is on a motorway at an average speed of 110 km per hour; the remainder of the journey is on country roads at an average speed of 70 km per hour.

  a) Write this information as a pair of simultaneous equations

  Answer: ……………………………..

  b) Solve these simultaneous equations to find how many kilometres of the journey is spent on the motorway.

  Answer: …………………………km

  9. a) A formula is given as 𝑣 = 𝑢 + 𝑎𝑡

  Calculate the value of 𝑡 when 𝑣 = 12, 𝑢 = −3, 𝑎 = 5

  Answer: ……………………………..

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Calculate the values of 𝑎 when ℎ = 13, 𝑏 = 5

  Answer: ……………………………..

汤布里奇公学Tonbridge school 14+数学B卷入学考试

  Calculate the value of 𝑢 when 𝑓 = 5, 𝑣 = 6

  Answer: ……………………………..

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